Elliptic curve search results

Results (15 matches)

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Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	CM	Sato-Tate	Semistable	Potentially good	Nonmax $\ell$	$\ell$-adic images	mod-$\ell$ images	Adelic level	Adelic index	Adelic genus	Regulator	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
8040.g2	8040f2	8040.g	8040f	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 67 \)	\( 2^{10} \cdot 3^{2} \cdot 5^{4} \cdot 67^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.1	2Cs	$1608$	$48$	$0$	$1$	$1$		$3$	$8192$	$0.758197$	$527178079876/25250625$	$0.88598$	$3.77242$	$[0, 1, 0, -1696, -26320]$	\(y^2=x^3+x^2-1696x-26320\)	2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 24.24.0-24.b.1.2, 268.12.0.?, $\ldots$	$[ ]$
16080.i2	16080b2	16080.i	16080b	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 67 \)	\( 2^{10} \cdot 3^{2} \cdot 5^{4} \cdot 67^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.1	2Cs	$1608$	$48$	$0$	$1$	$1$		$3$	$16384$	$0.758197$	$527178079876/25250625$	$0.88598$	$3.50244$	$[0, -1, 0, -1696, 26320]$	\(y^2=x^3-x^2-1696x+26320\)	2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 24.24.0-24.b.1.3, 268.12.0.?, $\ldots$	$[ ]$
24120.o2	24120w2	24120.o	24120w	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 67 \)	\( 2^{10} \cdot 3^{8} \cdot 5^{4} \cdot 67^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$1608$	$48$	$0$	$1$	$1$		$3$	$65536$	$1.307503$	$527178079876/25250625$	$0.88598$	$4.01494$	$[0, 0, 0, -15267, 695374]$	\(y^2=x^3-15267x+695374\)	2.6.0.a.1, 4.12.0-2.a.1.1, 24.24.0-24.b.1.4, 536.24.0.?, 804.24.0.?, $\ldots$	$[ ]$
40200.q2	40200x2	40200.q	40200x	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 67 \)	\( 2^{10} \cdot 3^{2} \cdot 5^{10} \cdot 67^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$8040$	$48$	$0$	$8.303619087$	$1$		$3$	$196608$	$1.562916$	$527178079876/25250625$	$0.88598$	$4.11059$	$[0, -1, 0, -42408, -3205188]$	\(y^2=x^3-x^2-42408x-3205188\)	2.6.0.a.1, 24.12.0.b.1, 40.12.0-2.a.1.1, 60.12.0-2.a.1.1, 120.24.0.?, $\ldots$	$[(-37347/17, 1556100/17)]$
48240.cc2	48240x2	48240.cc	48240x	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 67 \)	\( 2^{10} \cdot 3^{8} \cdot 5^{4} \cdot 67^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$1608$	$48$	$0$	$1$	$1$		$3$	$131072$	$1.307503$	$527178079876/25250625$	$0.88598$	$3.75688$	$[0, 0, 0, -15267, -695374]$	\(y^2=x^3-15267x-695374\)	2.6.0.a.1, 4.12.0-2.a.1.1, 24.24.0-24.b.1.1, 536.24.0.?, 804.24.0.?, $\ldots$	$[ ]$
64320.t2	64320t2	64320.t	64320t	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 67 \)	\( 2^{16} \cdot 3^{2} \cdot 5^{4} \cdot 67^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$1608$	$48$	$0$	$2.082498219$	$1$		$9$	$131072$	$1.104771$	$527178079876/25250625$	$0.88598$	$3.43953$	$[0, -1, 0, -6785, -203775]$	\(y^2=x^3-x^2-6785x-203775\)	2.6.0.a.1, 4.12.0-2.a.1.1, 24.24.0-24.b.1.1, 536.24.0.?, 804.24.0.?, $\ldots$	$[(-40, 45)]$
64320.cw2	64320cq2	64320.cw	64320cq	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 67 \)	\( 2^{16} \cdot 3^{2} \cdot 5^{4} \cdot 67^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$1608$	$48$	$0$	$1$	$1$		$3$	$131072$	$1.104771$	$527178079876/25250625$	$0.88598$	$3.43953$	$[0, 1, 0, -6785, 203775]$	\(y^2=x^3+x^2-6785x+203775\)	2.6.0.a.1, 4.12.0-2.a.1.1, 24.24.0-24.b.1.4, 536.24.0.?, 804.24.0.?, $\ldots$	$[ ]$
80400.ce2	80400bc2	80400.ce	80400bc	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 67 \)	\( 2^{10} \cdot 3^{2} \cdot 5^{10} \cdot 67^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$8040$	$48$	$0$	$1$	$1$		$3$	$393216$	$1.562916$	$527178079876/25250625$	$0.88598$	$3.85833$	$[0, 1, 0, -42408, 3205188]$	\(y^2=x^3+x^2-42408x+3205188\)	2.6.0.a.1, 24.12.0.b.1, 40.12.0-2.a.1.1, 60.12.0-2.a.1.1, 120.24.0.?, $\ldots$	$[ ]$
120600.cj2	120600u2	120600.cj	120600u	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 67 \)	\( 2^{10} \cdot 3^{8} \cdot 5^{10} \cdot 67^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$8040$	$48$	$0$	$6.922792701$	$1$		$3$	$1572864$	$2.112221$	$527178079876/25250625$	$0.88598$	$4.28800$	$[0, 0, 0, -381675, 86921750]$	\(y^2=x^3-381675x+86921750\)	2.6.0.a.1, 20.12.0-2.a.1.1, 24.12.0.b.1, 120.24.0.?, 536.12.0.?, $\ldots$	$[(5210/7, 2365000/7)]$
192960.f2	192960ea2	192960.f	192960ea	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 67 \)	\( 2^{16} \cdot 3^{8} \cdot 5^{4} \cdot 67^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.1	2Cs	$1608$	$48$	$0$	$2.646372999$	$1$		$9$	$1048576$	$1.654078$	$527178079876/25250625$	$0.88598$	$3.67066$	$[0, 0, 0, -61068, 5562992]$	\(y^2=x^3-61068x+5562992\)	2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 24.24.0-24.b.1.3, 268.12.0.?, $\ldots$	$[(116, 200)]$
192960.cu2	192960bz2	192960.cu	192960bz	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 67 \)	\( 2^{16} \cdot 3^{8} \cdot 5^{4} \cdot 67^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.1	2Cs	$1608$	$48$	$0$	$7.274175863$	$1$		$3$	$1048576$	$1.654078$	$527178079876/25250625$	$0.88598$	$3.67066$	$[0, 0, 0, -61068, -5562992]$	\(y^2=x^3-61068x-5562992\)	2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 24.24.0-24.b.1.2, 268.12.0.?, $\ldots$	$[(11456/5, 989604/5)]$
241200.f2	241200f2	241200.f	241200f	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 67 \)	\( 2^{10} \cdot 3^{8} \cdot 5^{10} \cdot 67^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$8040$	$48$	$0$	$1$	$1$		$3$	$3145728$	$2.112221$	$527178079876/25250625$	$0.88598$	$4.04817$	$[0, 0, 0, -381675, -86921750]$	\(y^2=x^3-381675x-86921750\)	2.6.0.a.1, 20.12.0-2.a.1.1, 24.12.0.b.1, 120.24.0.?, 536.12.0.?, $\ldots$	$[ ]$
321600.e2	321600e2	321600.e	321600e	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 67 \)	\( 2^{16} \cdot 3^{2} \cdot 5^{10} \cdot 67^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$8040$	$48$	$0$	$2.401548486$	$1$		$9$	$3145728$	$1.909491$	$527178079876/25250625$	$0.88598$	$3.76449$	$[0, -1, 0, -169633, 25811137]$	\(y^2=x^3-x^2-169633x+25811137\)	2.6.0.a.1, 20.12.0-2.a.1.1, 24.12.0.b.1, 120.24.0.?, 536.12.0.?, $\ldots$	$[(152, 1875)]$
321600.jn2	321600jn2	321600.jn	321600jn	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 67 \)	\( 2^{16} \cdot 3^{2} \cdot 5^{10} \cdot 67^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$8040$	$48$	$0$	$1$	$9$	$3$	$3$	$3145728$	$1.909491$	$527178079876/25250625$	$0.88598$	$3.76449$	$[0, 1, 0, -169633, -25811137]$	\(y^2=x^3+x^2-169633x-25811137\)	2.6.0.a.1, 20.12.0-2.a.1.1, 24.12.0.b.1, 120.24.0.?, 536.12.0.?, $\ldots$	$[ ]$
393960.q2	393960q2	393960.q	393960q	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 67 \)	\( 2^{10} \cdot 3^{2} \cdot 5^{4} \cdot 7^{6} \cdot 67^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$11256$	$48$	$0$	$1.639935733$	$1$		$9$	$2359296$	$1.731152$	$527178079876/25250625$	$0.88598$	$3.53910$	$[0, -1, 0, -83120, 8861532]$	\(y^2=x^3-x^2-83120x+8861532\)	2.6.0.a.1, 24.12.0.b.1, 56.12.0-2.a.1.1, 84.12.0.?, 168.24.0.?, $\ldots$	$[(89, 1470)]$

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